Math 8th

Week of:

MARCH 30TH

WICHITA PUBLIC SCHOOLS

5th, 6th, 7th and 8th Grades

Your child should spend up to 90 minutes over the course of each day on this packet.

Consider other family-friendly activities during the day such as:

Write questions and interview a friend or

family member.

Plan a dream vacation. Where would you

go and what would you do there?

Learn to play a new card game.

Read a book outside in the sunshine.

Make a healthy snack or meal and share with

your family.

Learn and/or create some new dance moves

from YouTube or TikTok.

Explore the website code.org

Reach out to one of your teachers to say

hello.

*All activities are optional. Parents/Guardians please practice responsibility, safety, and supervision.

For students with an Individualized Education Program (IEP) who need additional support,

Parents/Guardians can refer to the Specialized Instruction and Supports webpage or contact

their child’s IEP manager. Contact the IEP manager by emailing them directly or by contacting the

school. The Specialized Instruction and Supports webpage can be accessed by clicking HERE or

by navigating in a web browser to https://www.usd259.org/Page/17540

WICHITA PUBLIC SCHOOLS

CONTINUOUS LEARNING HOTLINE AVAILABLE

316-973-4000

MARCH 30 – MAY 21, 2020

MONDAY – FRIDAY

11:00 AM – 1:00 PM ONLY

For Multilingual Education Services (MES) support,

please call (316) 866-8000 (Spanish and Proprio) or (316) 866-8003 (Vietnamese).

The Wichita Public Schools does not discriminate on the basis of race, color, national origin, religion, sex, gender identity, sexual

orientation, disability, age, veteran status or other legally protected classifications in its programs and activities.

Review Topic: Angles and Angle Relationships (8.G.1, 8.G.4, 8.G.6)

For each example, read the protractor and determine the measure of the angle being shown.

Measures to Remember

Right Angle – Measures 90°

Acute Angle – Less than 90°

Obtuse Angle – Between 90° and 180°

Straight Angle – Measures 180°

Circle – Measures 360°

Remember:

Knowing that a

circle measures

360° allows us to

figure out the

measure of angle

x by subtracting

the given measure

from 360.

Number 1:

360 – 60 = x

Types of Angles

5. 6.

Complimentary and Supplementary Angles

For each listed angle, give the measure of its compliment AND supplement.

A. 35° B. 27° C. 87°

D. 66° E. 49° F. 13°

G. 19° H. 31° I. 29°

For each set of angles, determine the value of x.

x

x

Remember: We can set up an

equation to solve for the

value of x. If the angles are

complimentary, we set them

equal to 90.

x + 46 = 90

If the angles are

supplementary, we set them

equal to 180:

119 + x = 180

Then solve!

Given each statement, write and solve an equation to determine the measure of

each angle in the angle pair.

1. Angles 1 and 2 are complementary. The measure of angle 2 is 20° larger than the measure of angle 1.

2. The supplement of an angle is 18° more than the measure of the angle itself.

3. Angles 1 and 2 are complementary. The measure of angle 1 is three degrees less than twice the measure

of angle 2.

Vertical Angles

Worked Example:

Angles 1 and 2 are complementary. The measure of angle 2 is 10° larger than the measure of angle 1.

Step 1: Determine if the angles are complementary (90°) or supplementary (180°).

Step 2: Set up the equation: Angle 1 + Angle 2 = 90°. Since we do not know what either angle measures, we

can use variables: x + x = 90°. The only information we have is that Angle 2 is 10° larger than Angle 1. So, in

our equation, we want to show that for Angle 2: x+ x+10 = 90°.

Step 3: Solve our equation: x + x + 10 = 90 2x + 10 = 90 2x = 80 x = 40

Step 4: Determine the measure of each angle. Angle 1 = x, so Angle 1 = 40°. Angle 2 = x +10, so Angle 2 = 50°

Vertical Angles are

equivalent. So, in the

example to the right, <1

and <2 are the same

value! If <1 equals 75°,

then <2 also equals 75°.

When two lines intersect,

angles directly next to

each other are

supplementary angles,

which means they add up

to equal 180°. So, in the

example on the left, <3

and <4 add up to equal

180° 3 4

Solving Problems with Vertical Angles

Use what you know about the relationship of vertical angles to solve for x in each situation.

a.

b. c.

d.

e.

f.

Stretch Your Thinking!

52° x° 158° x°

x° 165°

Review Topic: Triangles (8.G.6)

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length

of the third side.

Example: Determine if the measures form a triangle: 2 cm, 5.1 cm, 2.4 cm

As the Triangle Inequality Theorem states, we should be able to add any two sides up and have the total be larger than the

remaining side…let’s try it out!

2 + 5.1 = 7.2 ---Since 7.2 is longer than the side we left out (2.4) so far everything checks out!

2 +2.4 = 4.4 --- Uh oh! 4.4 is LESS than the side we left out (5.1). This means that the three lengths DO NOT form a triangle.

Determine if the given angles could form a triangle.

25°, 85°, 15° 100°, 37°, 43° 94°, 23°, 63°

90°, 72°, 18° 110°, 32°, 27° 46°, 78°, 56°

94°, 43°, 43° 95°, 62°, 13° 47°, 43°, 90°

Stretch Your Thinking!

The measure of two line segments are listed. Based on the two measures, determine the range of lengths the third line segment could be in order to create a triangle.

a. 8 ft, 4 ft, _________ 2.7 cm, 4.2 cm, _________

The Triangle Sum Theorem states that the sum of the angles of a triangle should always equal 180°

Example: Determine if the angles form a triangle: 74°, 44°, 62°

To determine if the angles form a triangle, simply add them up and see if the sum is 180°

74°+ 44°+62° = 180 --- So, we know that these three angles DO form a triangle.